An equation of a circle is given as (x + 6)2 + (y − 7)2 = 81. Find the center and radius of the circle.
1 answer:
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<u>Given</u>:
Given that the model of the house.
The house is made up of two composite figures triangle and rectangle.
The two sides of the triangle are 6x - 4 units each.
The length of the rectangle is 14x + 13.
The width of the rectangle is 12x + 3.
We need to determine the perimeter of the house.
<u>Perimeter:</u>
The perimeter of the house can be determined by adding all the sides of the house.
Thus, we have;
Simplifying the terms, we get;
Adding the like terms, we have;
Thus, the perimeter of the house is 50x + 11 units.
Hence, Option d is the correct answer.
Answer:
C) 2094.40
nearest answer.
Step-by-step explanation:
Since the given region is bounded by y = x, y = 10 and x = 0
⇒ 0 ≤ y ≤ 10
Radius and Height are 'y'
∴ The required volume
= ∫₀¹⁰2π(radius)(height)dy
= ∫₀¹⁰2π (y) (y) dy
= ∫₀¹⁰2π y² dy
= 2π ∫₀¹⁰ y² dy
Integrate y
=
=
=
where π is 3.142
= 2,094.66